Electron wave propagation in potential structures with δ‐type potentials

Abstract

With the recent advances in fine‐structure fabrication technology for semiconductors, it is now possible to fabricate a potential structure in which the wave nature of the electrons can be utilized. The wave phenomena caused in such structures are important as they become the operating principle of the device making use of the quantum effect. Therefore, much research has been carried out for the behaviors of the electron waves in potential structures with various shapes. In this paper, the behavior of the electron waves in a one‐dimensional potential including a δ‐type potential is analyzed by means of the equivalent circuits. In addition, the synthesis of the transmission characteristics by making use of this method is investigated. By carrying out synthesis of the resonant levels in a single barrier structure and a structure containing δ‐type potentials in a double barrier, the resonant characteristics are compared with those obtained from the conventional double barrier and quadruple barrier. Further, a synthesis of an electron wave filter is studied by means of a structure made of δ‐type potentials placed regularly in a flat potential. It is shown that a similar transmission characteristic can be synthesized with a simpler synthesis procedure than the method in which a multilayer combination of quarter‐wavelength layers is used.

Circuit Theory Based on New Concepts and Its Application to Quantum Theory

“…In Ref. [19], the method of obtaining a complex equivalent circuit by applying circuit theory while avoiding the expression of ∞ − ∞ is explained. By referring to Refs.…”

“…By referring to Refs. [15] and [19], we determine the equivalent circuit with the δ potential structure here.…”